Push back, your meal time to a certain extent is supposed to be your “me time” to help you reflect on your life.

Federal regulations require a break depending on total hours worked.
Attend the meeting. Eat lunch before or afterward. No need to make an... announcement. To limit interruptions, find a quite space away from your desk.  more

It is illegal. The lunch time is feedrally mandated but the labor regulations.
It is not his time to spend and it is not optional.

Change your lunch time!

You can opt to have your lunch earlier before the meeting

Discussion during meal time is not bad habit as long as information shared is positive

It's a senior role, your job literally doesn't include lunch per say, you hardly enjoy even holidays. If anything goes wrong, it's on you SENIOR... OFFICERS!
In my opinion, it's not supposed to be normal, but it is here in Nigeria! You should start thinking of retirement and being a boss yourself! In the beginning of owning a business of your own, you'd realize exactly why he's asking you to meet over lunch! The difference, however, is that the moment you successfully setup the business to stand on its own, YOU BECOME TRULY FREE!
Until, then, get use to holding meetings over lunch! more

Occasional meetings over lunch are not uncommon. If it becomes a routine, you can tell them the meetings are encroaching on your personal time and... need to be scheduled outside of the lunch break.  more

I think it’s reasonable to push back, especially if this is happening several times a week. Senior roles can certainly require flexibility, and... occasionally working through lunch may come with greater responsibility, but that shouldn’t automatically mean your lunch break becomes a regularly scheduled meeting block.

I’d address it professionally rather than making it confrontational. Let your manager know you’re happy to accommodate an occasional lunch meeting when necessary, but you’d prefer to keep that time available to step away and recharge whenever possible. Setting that boundary doesn’t mean you’re less committed to your role.

Flexibility is part of leadership, but healthy boundaries are what make that level of responsibility sustainable. more

​I went through a similar situation a few times. Whenever my boss called me over during lunch, I would stop eating and talk with him for the entire... break. Afterward, I asked for an extra 30 minutes to finish my meal. He refused, claiming I was supposed to eat while we talked. I replied that in my culture, we were taught not to talk while eating to avoid biting our tongues. After that, whenever he scheduled a lunch discussion, I stayed consistent in not eating while talking, and he eventually started giving me at least 15 minutes to finish my food. more

No no

If you can’t eat while talking to your manager, is that really considered taking a lunch?